Carcass wrote:
At an archery tournament, eight of the twenty competitors were left-handed and the remainders were right-handed. Due to the weather conditions it is more difficult for left-handers to hit the target. Practice sessions indicated that the probability of a left-hander hitting the target was 0.7, while for right-hander it was 0.9. What is the probability that an archer chosen at random is left-handed and hits the target?
A. 41/50
B. 27/41
C. 3359/9500
D. 37/100
E. 7/25
P(left-handed
AND hits target) = P(left-handed)
x P(hits target)
= 8/20
x 0.7
= 8/20
x 7/10
= 56/200
= 7/25
Answer: E